3^-b=3^2 eching

$$3 ^ { - b } = 3 ^ { 2 }$$

b uchun yechish

$$b=-2$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$3^{-b}=9$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(3^{-b})=\log(9)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$-b\log(3)=\log(9)$$

Ikki tarafini \log(3) ga bo‘ling.

$$-b=\frac{\log(9)}{\log(3)}$$

Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).

$$-b=\log_{3}\left(9\right)$$

Ikki tarafini -1 ga bo‘ling.

$$b=\frac{2}{-1}$$